Finding the Third Proportional to 82,117.13 and 123,541.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,117.13 : 123,541.88 = 123,541.88 : x
2. Step 2: Convert to fraction form
   82,117.13/123,541.88 = 123,541.88/x
3. Step 3: Cross multiply
   82,117.13x = 123,541.88 × 123,541.88
4. Step 4: Simplify right side
   82,117.13x = 15,262,594,878.52
5. Step 5: Solve for x
   x = 15,262,594,878.52/82,117.13
6. Step 6: Final answer
   x = 185,863.73